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Finding the Fourth Proportional to 7,064.76, 9,734.44 and 5,801.56

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Solution

The fourth proportional to 7,064.76, 9,734.44 and 5,801.56 is: 7,993.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,064.76 : 9,734.44 = 5,801.56 : x
  2. Step 2: Convert to fraction form
    7,064.76/9,734.44 = 5,801.56/x
  3. Step 3: Cross multiply
    7,064.76x = 9,734.44 × 5,801.56
  4. Step 4: Simplify right side
    7,064.76x = 56,474,937.73
  5. Step 5: Solve for x
    x = 56,474,937.73/7,064.76
  6. Step 6: Final answer
    x = 7,993.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.